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A085429
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Numbers k such that the number of 1's in the binary expansion of k is equal to the number of 1's in the binary expansion of the reversal of k.
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0
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0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 14, 15, 22, 25, 28, 29, 33, 37, 41, 44, 45, 51, 52, 54, 55, 57, 58, 66, 67, 70, 73, 75, 76, 77, 82, 85, 88, 92, 99, 101, 102, 103, 108, 109, 111, 121, 124, 126, 131, 135, 140, 141, 143, 146, 150, 151, 155, 161, 162, 165, 170, 171, 175, 177
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OFFSET
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0,3
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LINKS
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EXAMPLE
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143 is in the sequence because 143 = 10001111_2 and 341 = 101010101_2; both have five 1's.
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MATHEMATICA
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dc1Q[n_]:=Module[{rev=FromDigits[Reverse[IntegerDigits[n]]]}, DigitCount[n, 2, 1] ==DigitCount[rev, 2, 1]]; Select[Range[0, 250], dc1Q] (* Harvey P. Dale, Apr 03 2011 *)
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CROSSREFS
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KEYWORD
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base,easy,nonn,changed
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AUTHOR
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STATUS
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approved
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